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The distance of the point $(1, 1, 9)$ from the point of intersection of the line $\frac{x - 3}{1} = \frac{y - 4}{2} = \frac{z - 5}{2}$ and the plane $x + y + z = 17$ is:
(1) $\sqrt{38}$
(2) $19\sqrt{2}$
(3) $2\sqrt{19}$
(4) $38$
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